= 11/12 - 1/6q + 5/6q - 1/3
to add like terms, we must first convert 1/3 to a common denominator with 11/12
= 11/12 - 1/6q + 5/6q - 4/12
combine like terms
= (-1/6q + 5/6q) + (11/12 - 4/12)
add/subtract inside each parentheses
= 4/6q + 7/12
simplify 4/6 by 2
= 2/3q + 7/12
ANSWER: 2/3q + 7/12
Hope this helps! :)
Neither side of town due to the fact that none of the ratios are under 8%.
Y = log (1/3) x
Part 1:
Domain : x ∈ ( 0, + ∞ ).
Range: y ∈ R.
General shape: The graph is decreasing.
Part 2 :
We will choose those points: x = { 1/3, 1, 3, 9 }
Ordered pairs ( for graphing the function ) are :
f ( x ) = { ( 1/3, 1 ), ( 1. 0 ), ( 3, - 1 ), ( 9, - 2 ) }.
There is no y - intercept and x - intercept is 1.
(55 + 150 + 325 + 510 + 780 + 990) - (40 + 150 + 300 + 500 + 800 + 1000) = 2810 - 1790 = 20
It is a prime factorization because each base (2,3,5, and 11) is a prime number.
A prime number is one where the only factors of it are 1 and itself.
- factors of 2 = 1 and 2
- factors of 3 = 1 and 3
- factors of 5 = 1 and 5
- factors of 11 = 1 and 11
Instead of saying something like 11^2, we could write 11*11. Similarly, 5^4 could be written as 5*5*5*5. Though it's a good idea to use exponents so you make the prime factorization more compact and save time.
The '3' without an exponent is the same as 3^1. You'll often see that exponent of 1 left out. Again this is to save time.
